XIII. Queft. 373, by Mr.JohnWilliams, of Mold, in Flintshire, Mathematicians take Pains to defcribe Curves and Solids that never exifted, yet fay little or nothing to the Properties of thofe things that are in Nature; especially the Sections, Solidities, and Curve Superficies of the EGG, which is one of Nature's principal Productions. If any of the Problematic Problemifis would be pleased to give the Solution of the Quantity of Curve-Superficies and Solidity of the EGG, when its Axis is 2 Inches, greatest Ordinate 1, and the Distance from that Ordinate to the nearest End, 1 Inch, they would be intitled to a Maximum of Applaufe, instead of the Minimum acquired, by puffing and cavilling about their fuperior Dignity, who are odd Fishes at Foot-Ball. XIV. Quest. 374. by Philotheoros, My Lord Mayor's Gold Chain being 50 Inches in measuring round it, at what Distance muft it be hung over two Pins, horizontally fix'd in a Wall, cover'd with Crimson Damask, for a Spectator to behold the most Damask poffible, within the Circumference of the Chain? PRIZE-QUESTION, by Mr. James Hartley, of Yarum. P I W E F C K Suppofe DAFE to be a Veffel in the Form of a Conical Fruftum, whofe Top Diameter DA20, Bottom Diameter = 10, and Depth 15 Inches, fufpended by an inflex→ ible Line Ca 100 Inches (the Line and Veffel being fuppos'd of no Weight) and the Veffel full of Water to weigh 100 Pounds Weight, when the Veffel is perpendicularly fufpended at B. Let the Veffel be drawn afide by a Cord fasten'd at (a) the Bottom of the Veffel, while at the other End of the Cord is a Weight W fufpended, the Cord freely fliding over the Pulley at P, plac'd at fuch a Distance from C, in the Horizontal Line PC, as to require the leaft Weight, W, poffible, to equipoize the Veffel when the Tenfion of the Cord Pa is a Maximum: Requir'd the Weight, W, and Distance P C? B New PARADOXES to be anfwer'd in next Year's Diary. PARADOX I. by Mr Cottam, at his Grace the Duke of Norfolk's. Hene'er myLord *a Journey takes Or to a Friend a Vifit makes, His nearest Road South always lies, (Directly South) which all furprise! Remote the Place, adjacent, either, *A certain Nobleman, of Parts and Knowledge, acquired at N. N. College, whofe Situation, Houfe, Furniture, Gardens, Fields, Landscape, Qxen, Sheep, Fish, Fowl, Hunting, &c. are finely defcribed by the AuEbor, which we are forced to curtail, for want of Room. PARADOX II, PARADOX II. by John a Stiles, Clerk of H-n. A Man's Lands, which he's fuppos'd to have purchas'd, devolv'd to his only Daughter, and then to her eldeft Son (according to common Defcents) and the only Son of the Purchafer, who was begotten in law-` ful Wedlock, as well as the Daughter; yet he had nevertheless no manner of Right to the Inheritance after his Deccafe: How could this be? Answers to all the Ænigmas in laft Year's DIARY. I. 339. A BELL, and the ROPE. II. 340. An UNJUST STEWARD. III. 341. A HIGHWAY-MAN, or THIEF. IV. 342. A SNAIL. V. 343. A LADY'S JOSEPH. VIII. 346. A Box-IRON. Prize, A TRICK, or DECE IT. 2 Lat. INCENSE, orFRANKINCENSE. All the Enigmas in laft Year's Diary anfwered by Mifs Ann Hulje of Elworth-hall [Quere Alworth] in Cheshire, in the Character of a Country Girl. I DWELL upon the rural Plain, No idle Time lies on my Hands, commands, 8. [demands, 10 You are a very good Girl, Mifs! Χρονονμονονπύβλικ© Four young Ladies, to the Author of the Lady's Diary. SIR, The Enigmas we've fent you are the Production of four young Ladies, who crave your Favour. As we have made you an Offering of the First Fruits of our Genius, accept them with the Allowances due to the State of Infancy, and give all, or fome of us, a Place in your excellent Diary. and fear If you neglect our first Attempts, we shall not eafily pardon · ful we are of taking Revenge! as we cannot tell how far our Refentment may may prompt us to proceed against you! And we had rather embrace you in the Arms of our Friendship, than hold you in Contempt! Therefore, Dear Sir, for your own dear fake, have fome Compaffion for four Ladies, who prefer a Station and Pleasure in your Power to give them, far before the advantageous Situation of a Front-Box at Drury-lane (tho' furrounded with pretty Fellows!) or any other confpicuous Poft in the Kingdom. Now, Sir, as we have never yet receiv'd a Denial from your Sex, excufe our Credulity, when, believing our Request already granted, we style ourfelves, Your conftant oblig'd Admirers, and humble Servants, Miranda Tell-Truth, | Matilda, and Alifpia, Belinda Amoretta. · Alifpia, (one of the four celebrated Geniuses) answers the Dear SIR, Pray excufe all the Faults of my Mufe, Your Enigmas I've read both when up and in Bed, But, unless it comes foon, and brings with it my Boon, If by Silence I'm croft, it may be to your Coft! But, in publishing Thefe, you will certainly pleafe, Alifpia: She proceeds thus; being determin'd to run away with her Lover. Dear Swain, no DECEIT fhall your Wishes defeat, Prize. Since no Lawyer nor HIGHWAYMAN fright! 3 I care not a PIN who may think it a Sin, For, refolv'd, I'll go with you this Night. In an old Capuchin, I'll fteal out on the Green, Hear fweet Philomel fing, and the Village BELLS ring, 1 By the MAP, never fear, we'll faccessfully fteer, 7 Leaving REEL, VOWELS and Box-IRON behind; 10, 6,8 Content, Damon, with you, I could range the World thro', While my SHOES are but Slaves to my Mind. 9 Several Ænigmas in the latt Year's Diary answered by Mr. 7. Bofter. To the Author. May Fortune place you in fome rural Seat, 8, Pr. No No Envy there fhall rob your foft Repofe, Where harmless Pleasure no Court-Sorrow knows ; Nor Knaves and Cheats your future Peace moleft, I But Honefty be thro' theWORLD profeft *. 7 * Alluding to the Map. } ΤΟ Mr. John Ramsay answers the 1ft and Prize Enigmas thus: Prize. * I And Haman's Gallows fhew their Way to Heav'n. Eftb. vii. 9, 10. SIR, Tho' I am but a Youth, and was not Fourteen Years of Age when your Diary fell into my Hands, I have hit upon the Enigmas, and fent you their Solutions in Verse. Proceeding to the Queftions, my Mouth water'd at that of the FruitTrees, which Solution, and another to the 353d Queft. and a new Question (by a Lincolnshire Goffard) I have fent you. If they find favour in your Sight, it will encourage a young Tyro to proceed in the rugged Paths of Algebra, Geometry, and Fluxions, even to the Summit of Mount Science (more difficult to afcend than paffing the Alps to our young Nobility on their Travels) and when I appear before the Illuftrious Goddess in the Temple of Science, fitting on the Throne of Truth, with a Crown of Stars on her Head, I will pay to her my Homage and Duty, as is described in a late curious Performance*, intituled, Fluxions for the Ladies. I am, Sir, your moft humble Servant, Henry Watson. *This Pamphlet is to be bad of Mr. Owen, Bookfeller, near Temple Bar, if the first Edition be not fold off. All the Ænigmas anfwer'd by Mr. Henry Watfon, a Tyro of A Maiden of Mettle, no more than Eighteen, She buckled her SHOES, and her JOSEPH put on, Who fpy'd her dear STEWARD gang over the Green, 11, 8 2 9,5 When the BELL had rung Eight, and the Day-light was gone, 1 Abroad this Virago did ride. By By the MAP of the Country, directing her Courfe, In the Turn of a REEL, by the Help of a Horfe, Then HIGHWAYMAN-like, she her Needle-Cafe drew, "I'll teach you your Vowels, A, E, I, O, U, But faid tho' you're frighted, you're never the worse, 7 4 ΤΟ 3 6 Prize. All the Enigma's answer'd by 'Squire Squib, of Norfolk. If his BELL fhould be crack'd who would found his own Flaw? Left a ROPE fhould reward him, inftead of more Pelf. For SNAILS can cure Hectics -and Doctors and Affes But remove his MAP-Screen and it foon will be try'd. But her SMOOTHING fhall never for Conftancy go. Salmon once more appears, juft to tell us more News, Whofe Wife fent him thither to buy her a REEL. Now, Celadon next, with his Crambo comes in, For the Prize last of all, I come juft in the Nick, My Pegafus wincing Prize. Mr. John Fish, of Dartford in Kent, answers the Prize Enigma thus: * $inocop®! O good Mr. Wifeacre, our quondam Friend! Α Uthors appear inconfiftent to their Readers, because their Judgments differ; and becaufe all Authors cannot cut, and contrive their Timber, for Advantage, alike. Tempora O Mores! UTRIUSQUE JACOBI, Para |